TY - JOUR
T1 - Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation
AU - Greither, Cornelius
AU - Kurihara, Masato
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/12
Y1 - 2008/12
N2 - In this paper, we systematically construct abelian extensions of CM-fields over a totally real field whose Stickelberger elements are not in the Fitting ideals of the class groups. Our evidence indicates that Pontryagin duals of class groups behave better than the class groups themselves. We also explore the behaviour of Fitting ideals under projective limits and dualisation in a somewhat broader context.
AB - In this paper, we systematically construct abelian extensions of CM-fields over a totally real field whose Stickelberger elements are not in the Fitting ideals of the class groups. Our evidence indicates that Pontryagin duals of class groups behave better than the class groups themselves. We also explore the behaviour of Fitting ideals under projective limits and dualisation in a somewhat broader context.
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U2 - 10.1007/s00209-008-0306-9
DO - 10.1007/s00209-008-0306-9
M3 - Article
AN - SCOPUS:52949085845
SN - 0025-5874
VL - 260
SP - 905
EP - 930
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 4
ER -